42468623512049481120
42,468,623,512,049,481,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 42468623512049481120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
42468623512049481120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 42468623512049481120:
25 × 34 × 5 × 114 × 337 × 257712
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 337 × 25771 × 25771)See below for interesting mathematical facts about the number 42468623512049481120 from the Numbermatics database.
Names of 42468623512049481120
- Cardinal: 42468623512049481120 can be written as Forty-two quintillion, four hundred sixty-eight quadrillion, six hundred twenty-three trillion, five hundred twelve billion, forty-nine million, four hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.246862351204948112 × 1019
Factors of 42468623512049481120
Divisors of 42468623512049481120
- Number of divisors d(n): 1800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 81 88 90 96 99 108 110 120 121 132 135 144 160 162 165 176 180 198 216 220 240 242 264 270 288 297 324 330 337 352 360 363 396 405 432 440 480 484 495 528 540 594 605 648 660 674 720 726 792 810 864 880 891 968 990 1011 1056 1080 1089 1188 1210 1296 1320 1331 1348 1440 1452 1485 1584 1620 1685 1760 1782 1815 1936 1980 2022 2160 2178 2376 2420 2592 2640 2662 2696 2904 2970 3033 3168 3240 3267 3370 3564 3630 3707 3872 3960 3993 4044 4320 4356 4455 4752 4840 5055 5280 5324 5392 5445 5808 5940 6066 6480 6534 6655 6740 7128 7260 7414 7920 7986 8088 8712 8910 9099 9504 9680 9801 10110 10648 10784 10890 11121 11616 11880 11979 12132 12960 13068 13310 13480 14256 14520 14641 14828 15165 15840 15972 16176 16335 17424 17820 18198 18535 19360 19602 19965 20220 21296 21780 22242 23760 23958 24264 25771 26136 26620 26960 27297 28512 29040 29282 29656 30330 31944 32352 32670 33363 34848 35640 35937 36396 37070 39204 39930 40440 40777 42592 43560 43923 44484 45495 47520 47916 48528 49005 51542 52272 53240 53920 54594 55605 58080 58564 59312 59895 60660 63888 65340 66726 71280 71874 72792 73205 74140 77313 78408 79860 80880 81554 87120 87846 88968 90990 95832 97056 98010 100089 103084 104544 106480 107811 109188 111210 117128 118624 119790 121320 122331 127776 128855 130680 131769 133452 136485 142560 143748 145584 146410 148280 154626 156816 159720 161760 163108 166815 174240 175692 177936 179685 181980 191664 196020 200178 203885 206168 212960 215622 218376 219615 222420 231939 234256 239580 242640 244662 257710 261360 263538 266904 272970 283481 287496 291168 292820 296560 300267 309252 313632 319440 326216 333630 351384 355872 359370 363960 366993 383328 386565 392040 395307 400356 407770 412336 431244 436752 439230 444840 448547 463878 468512 479160 485280 489324 500445 515420 522720 527076 533808 539055 545940 566962 574992 585640 593120 600534 611655 618504 638880 652432 658845 667260 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65537999246989940 70196071920742944 71495999178534480 78645599096387928 80432999075851290 85795199014241376 87745089900928680 88476298983436419 96519598891021548 98306998870484910 104860798795183904 107243998767801720 116993453201238240 117968398644581892 120649498613776935 126019654338425760 128692798521362064 131075998493979880 142991998357068960 147460498305727365 157291198192775856 160865998151702580 175490179801857360 176952597966872838 193039197782043096 196613997740969820 214487997535603440 235936797289163784 241298997227553870 257385597042724128 262151996987959760 265428896950309257 294920996611454730 314582396385551712 321731996303405160 350980359603714720 353905195933745676 386078395564086192 393227995481939640 428975995071206880 442381494917182095 471873594578327568 482597994455107740 524303993975919520 530857793900618514 589841993222909460 643463992606810320 707810391867491352 772156791128172384 786455990963879280 884762989834364190 943747189156655136 965195988910215480 1061715587801237028 1179683986445818920 1286927985213620640 1327144484751546285 1415620783734982704 1572911981927758560 1769525979668728380 1930391977820430960 2123431175602474056 2359367972891637840 2654288969503092570 2831241567469965408 3539051959337456760 3860783955640861920 4246862351204948112 4718735945783275680 5308577939006185140 7078103918674913520 8493724702409896224 10617155878012370280 14156207837349827040 21234311756024740560 42468623512049481120
- Sum of all divisors σ(n): 165361344161971017060
- Sum of proper divisors (its aliquot sum) s(n): 122892720649921535940
- 42468623512049481120 is an abundant number, because the sum of its proper divisors (122892720649921535940) is greater than itself. Its abundance is 80424097137872054820
Bases of 42468623512049481120
- Binary: 1001001101010111101101110000010011011001111000001011110101101000002
- Hexadecimal: 0x24D5EDC136782F5A0
- Base-36: 8YNN2LTBX2Y00
Squares and roots of 42468623512049481120
- 42468623512049481120 squared (424686235120494811202) is 1803583983008202004256466635261236454400
- 42468623512049481120 cubed (424686235120494811203) is 76595729146737979482305009828655729485878713325148540928000
-
The
square root of 42468623512049481120 is 6516795494.1097761229 -
The
cube root of 42468623512049481120 is 3488907.0151511323
Scales and comparisons
How big is 42468623512049481120?- 42,468,623,512,049,481,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,468,623,512,049,481,120 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42468623512049481120 cubic inches would be around 290742.3 feet tall.
Recreational maths with 42468623512049481120
- 42468623512049481120 backwards is 02118494021532686424
- 42468623512049481120 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42468623512049481120's digits is 72
- More coming soon!
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"Number 42468623512049481120 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 42468623512049481120 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/42468623512049481120/
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The information we have on file for 42468623512049481120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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